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491362416 = 24337315581
BaseRepresentation
bin11101010010011…
…001100001110000
31021020120210112000
4131102121201300
52001242044131
6120431334000
715114340326
oct3522314160
91236523460
10491362416
112323a7946
12118681300
137aa4c6bc
1449387d16
152d20dce6
hex1d499870

491362416 has 80 divisors (see below), whose sum is σ = 1429804320. Its totient is φ = 161533440.

The previous prime is 491362357. The next prime is 491362423. The reversal of 491362416 is 614263194.

491362416 is a `hidden beast` number, since 4 + 9 + 13 + 624 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23746 + ... + 39326.

It is an arithmetic number, because the mean of its divisors is an integer number (17872554).

Almost surely, 2491362416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 491362416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714902160).

491362416 is an abundant number, since it is smaller than the sum of its proper divisors (938441904).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

491362416 is a wasteful number, since it uses less digits than its factorization.

491362416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15671 (or 15659 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 491362416 is about 22166.6961002311. The cubic root of 491362416 is about 789.1035154559.

The spelling of 491362416 in words is "four hundred ninety-one million, three hundred sixty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 73 108 144 146 216 219 292 432 438 584 657 876 1168 1314 1752 1971 2628 3504 3942 5256 7884 10512 15581 15768 31162 31536 46743 62324 93486 124648 140229 186972 249296 280458 373944 420687 560916 747888 841374 1121832 1137413 1682748 2243664 2274826 3365496 3412239 4549652 6730992 6824478 9099304 10236717 13648956 18198608 20473434 27297912 30710151 40946868 54595824 61420302 81893736 122840604 163787472 245681208 491362416